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Finding the Third Proportional to 6,997,877,875.50 and 15,422,146,167

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Solution

The third proportional to 6,997,877,875.50 and 15,422,146,167 is: 33,987,816,967.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,997,877,875.50 : 15,422,146,167 = 15,422,146,167 : x
  2. Step 2: Convert to fraction form
    6,997,877,875.50/15,422,146,167 = 15,422,146,167/x
  3. Step 3: Cross multiply
    6,997,877,875.50x = 15,422,146,167 × 15,422,146,167
  4. Step 4: Simplify right side
    6,997,877,875.50x = 237,842,592,396,312,805,376
  5. Step 5: Solve for x
    x = 237,842,592,396,312,805,376/6,997,877,875.50
  6. Step 6: Final answer
    x = 33,987,816,967.91

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.